CPM Homework Help : CCA Problem 10-83

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Home > CCA > Chapter 10 > Lesson 10.2.5 > Problem 10-83

10-83.

Solve each equation by first rewriting it in a more useful form.

$25^2=125^{x+1}$
Answer (a):
$x=\frac{1}{3}$

$\frac{x}{5}+\frac{x-1}{3}=2$
Hint (b):
Multiply by a common multiple to cancel out the fractions.

$x^2−4x+4=25$
Hint (c):
The left side is a perfect square.
Answer (c):
$x=7\ \text{or}\ −3$

$9^x=\left(\frac{1}{3}\right)^{x+3}$
Hint (d):
$\frac{1}{3}=3^{-1}$
Answer (d):
$x=−1$

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